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ON A NON-LOCAL PROBLEM FOR A MULTI-TERM FRACTIONAL DIFFUSION-WAVE EQUATION
(De Gruyter, 2020)
This paper deals with the multi-term generalisation of the time-fractional diffusion-wave equation for general operators with discrete spectrum, as well as for positive hypoelliptic operators, with homogeneous multi-point ...
GENERATING FUNCTIONS AND TOPOLOGICAL COMPLEXITY
(Elsevier, 2020)
We examine the rationality conjecture raised in [1] which
states that (a) the formal power series
a rational function of x with a single pole of order 2 at x = 1 and (b) the leading coefficient of the pole equals ...
Simplicial complexes: higher-order spectral dimension and dynamics
(IOP, 2020)
Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and social interaction networks. They are generalized network structures that allow to go beyond the ...
Explosive higher-order Kuramoto dynamics on simplicial complexes
(American Physical Society, 2020)
The higher-order interactions of complex systems, such as the brain, are captured by their simplicial complex structure and have a significant effect on dynamics. However the existing dynamical models defined on simplicial ...
Real-Time Dynamics of Plasma Balls from Holography
(American Physical Society (APS), 2020)
Plasma balls are droplets of deconfined plasma surrounded by a confining vacuum. We present the first holographic simulation of their real-time evolution via the dynamics of localized, finite-energy black holes in the ...
Large Fluctuations in Locational Marginal Prices
(Royal Society, The, 2020)
This paper investigates large fluctuations of Locational Marginal Prices (LMPs) in wholesale energy markets caused by volatile renewable generation profiles. Specifically, we study events of the form ℙ(LMP∉∏ni=1[α−i,α+i]), ...
Efficient On-line Computation of Visibility Graphs
(American Physical Society, 2020-04)
A visibility algorithm maps time series into complex networks following a simple criterion. The resulting visibility graph has recently proven to be a powerful tool for time series analysis. However its straightforward ...
The higher-order spectrum of simplicial complexes: a renormalization group approach
(IOP, 2020)
Network topology is a flourishing interdisciplinary subject that is relevant for different disciplines including quantum gravity and brain research. The discrete topological objects that are investigated in network topology ...
A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces
(Elsevier, 2021-01)
In this paper we study approximation theorems for $L^2$-space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using spherical mean operator on Damek-Ricci ...